Email this article Nonexistence of solutions of the dirichlet problem for some quasilinear elliptic equations in a half-space
- Authors: Galakhov E.I.1,2, Salieva O.A.1,2
-
Affiliations:
- Peoples’ Friendship University of Russia
- Stankin Moscow State Technological University
- Issue: Vol 52, No 6 (2016)
- Pages: 749-760
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153857
- DOI: https://doi.org/10.1134/S0012266116060057
- ID: 153857
Cite item
Open Access
Access granted
Subscription Access
Abstract
We prove the monotonicity of nonnegative bounded solutions of the Dirichlet problem for the quasilinear elliptic equation −Δpu = f(u), p ≥ 3, in a half-space. This assertion implies new results on the nonexistence of solutions for the case in which f(u) = uq with appropriate values of q.
About the authors
E. I. Galakhov
Peoples’ Friendship University of Russia; Stankin Moscow State Technological University
Author for correspondence.
Email: galakhov@rambler.ru
Russian Federation, Moscow; Moscow
O. A. Salieva
Peoples’ Friendship University of Russia; Stankin Moscow State Technological University
Email: galakhov@rambler.ru
Russian Federation, Moscow; Moscow
Supplementary files
